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CADE
1998
Springer
15 years 4 months ago
Admissibility of Fixpoint Induction over Partial Types
Partial types allow the reasoning about partial functions in type theory. The partial functions of main interest are recursively computed functions, which are commonly assigned ty...
Karl Crary
ENTCS
2007
109views more  ENTCS 2007»
14 years 11 months ago
Constructive Membership Predicates as Index Types
In the constructive setting, membership predicates over recursive types are inhabited by terms indexing the elements that satisfy the criteria for membership. In this paper, we mo...
James Caldwell, Josef Pohl
SCP
2011
255views Communications» more  SCP 2011»
14 years 6 months ago
Map fusion for nested datatypes in intensional type theory
A definitional extension LNGMIt of the Calculus of Inductive Constructions (CIC), that underlies the proof assistant Coq, is presented that allows also to program with nested dat...
Ralph Matthes
POPL
1995
ACM
15 years 3 months ago
A Type System Equivalent to Flow Analysis
Flow-based safety analysis of higher-order languages has been studied by Shivers, and Palsberg and Schwartzbach. Open until now is the problem of finding a type system that accep...
Jens Palsberg, Patrick O'Keefe
CIE
2007
Springer
15 years 6 months ago
Binary Trees and (Maximal) Order Types
Concerning the set of rooted binary trees, one shows that Higman’s Lemma and Dershowitz’s recursive path ordering can be used for the decision of its maximal order type accordi...
Gyesik Lee